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Simplifying 1.7(n + -0.2) + 0.03n = 3.6n + 2.1(0.3n + 0.7) Reorder the terms: 1.7(-0.2 + n) + 0.03n = 3.6n + 2.1(0.3n + 0.7) (-0.2 * 1.7 + n * 1.7) + 0.03n = 3.6n + 2.1(0.3n + 0.7) (-0.34 + 1.7n) + 0.03n = 3.6n + 2.1(0.3n + 0.7) Combine like terms: 1.7n + 0.03n = 1.73n -0.34 + 1.73n = 3.6n + 2.1(0.3n + 0.7) Reorder the terms: -0.34 + 1.73n = 3.6n + 2.1(0.7 + 0.3n) -0.34 + 1.73n = 3.6n + (0.7 * 2.1 + 0.3n * 2.1) -0.34 + 1.73n = 3.6n + (1.47 + 0.63n) Reorder the terms: -0.34 + 1.73n = 1.47 + 3.6n + 0.63n Combine like terms: 3.6n + 0.63n = 4.23n -0.34 + 1.73n = 1.47 + 4.23n Solving -0.34 + 1.73n = 1.47 + 4.23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.23n' to each side of the equation. -0.34 + 1.73n + -4.23n = 1.47 + 4.23n + -4.23n Combine like terms: 1.73n + -4.23n = -2.5n -0.34 + -2.5n = 1.47 + 4.23n + -4.23n Combine like terms: 4.23n + -4.23n = 0.00 -0.34 + -2.5n = 1.47 + 0.00 -0.34 + -2.5n = 1.47 Add '0.34' to each side of the equation. -0.34 + 0.34 + -2.5n = 1.47 + 0.34 Combine like terms: -0.34 + 0.34 = 0.00 0.00 + -2.5n = 1.47 + 0.34 -2.5n = 1.47 + 0.34 Combine like terms: 1.47 + 0.34 = 1.81 -2.5n = 1.81 Divide each side by '-2.5'. n = -0.724 Simplifying n = -0.724
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